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Geometry

Use the Pythagorean theorem to find a hypotenuse, see the tutor catch a classic area mistake, and get a labelled diagram.

6 min read Students · Parents · Educators Video in 1 language
2:30 · narrated · captions

Set up a geometry session

  1. Open the Setup Wizard

    In the tutor lobby, choose Setup Wizard at the top (or Customize). The wizard builds a focused session in four quick steps.

  2. Pick your level — Advanced

    Build on Basics revisits foundations, Advanced (recommended) works at grade level, and Expert moves faster with harder problems. Then press Continue.

  3. Choose how you learn — Step-by-step

    Direct gets to the point, Step-by-step explains every move, In-depth adds the why behind each idea, and Guide me teaches through questions.

  4. Choose Math, then the focus area — Geometry

    Select Math. A Focus area in Math row appears (General Math, Arithmetic, Algebra, Geometry, Trigonometry, Pre-Calculus, Calculus, Statistics, Probability and more). Picking one keeps every explanation, example and practice question on that topic.

  5. Pick a buddy and start

    Choose a learning buddy — Sage is calm and methodical, a favourite for math — then press Start Session.

Solve a right-triangle problem

Right triangle, legs 6 cm and 8 cm: hypotenuse and areaGrades 8–9
  1. Pythagorasc² = 6² + 8² = 36 + 64 = 100a² + b² = c² for right triangles.
  2. Square rootc = √100 = 10Lengths are positive.
  3. AreaA = ½ × 6 × 8 = 24A triangle is half the 6 × 8 rectangle.
Answer: Hypotenuse 10 cm, area 24 cm²
Check: 6-8-10 is the 3-4-5 triangle doubled ✓

  1. Describe the shape

    Give the measurements and what you need to find.

    Try it“A right triangle has legs of 6 cm and 8 cm. What is the hypotenuse, and what is the area?”

  2. Do the working — mistakes welcome

    Maya gets the hypotenuse right (10 cm) but forgets the ½ in the area formula. The tutor catches it and explains why a triangle is half of a rectangle.

    Try it“36 + 64 = 100, so the hypotenuse is 10 cm. And the area is 6 times 8 = 48?”

  3. Ask for a diagram

    A labelled diagram makes the legs, hypotenuse and right angle obvious.

    Try it“Can you draw a labeled diagram of this triangle?”

Keep learning

Ways to learn

Visual & interactive 3D

See math in 3D right inside the chat: spin a solid, number its faces, step through faces in Lite 3D, build a 3D scene, and turn graphs into 3D models.

Math topics

Statistics & probability

Find the mean, median and mode of a data set, see it as a chart, and work out a two-dice probability — every count shown.

Math topics

Algebra & equations

Solve a system of two linear equations by elimination, check it, see the substitution method with “Try different approach”, then test yourself with “Quiz me”.

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